Nucleon-induced cross sections on magnesium isotopes, 24,25,26Mg, and silicon isotopes, 28,29,30Si, were evaluated for energies up to 3 GeV. Evaluation of nucleon-scattering cross sections was performed by a consistent analysis of nuclear-level structure and nucleon-scattering data using a unified framework of a soft-rotator model and coupled-channel approach. The scattering cross sections for silicon isotopes were re-analyzed based on two new considerations. First the silicon isotopes were assumed to be deformed nuclei having oblate shapes, second the more sophisticated form of optical-potential energy dependence was used. The evaluation of the particle emissions was performed by using a nuclear-model code system consisting of the GNASH code up to 150 MeV and the JQMD code above 150 MeV. The present results were compared with available experimental data and the LA 150 evaluation.